The first six books of the Elements of Euclid, with numerous exercisesIngram, Cooke, 1853 - 147 σελίδες |
Αναζήτηση στο βιβλίο
Αποτελέσματα 6 - 10 από τα 64.
Σελίδα 12
... angles cba , abe , ebd . Again , because the angle dba is equal to the two angles dbe , eba , add to these equals ... right angles ; therefore d ba , a b c are together equal to two right angles . Wherefore , the angles which one ...
... angles cba , abe , ebd . Again , because the angle dba is equal to the two angles dbe , eba , add to these equals ... right angles ; therefore d ba , a b c are together equal to two right angles . Wherefore , the angles which one ...
Σελίδα 13
Euclides. are equal to the angles aed , deb . Take away the common angle a ed , and the remaining angle cea is equal ... right angles . COR . 2. And consequently that all the angles made by any number of lines meeting in one point , are ...
Euclides. are equal to the angles aed , deb . Take away the common angle a ed , and the remaining angle cea is equal ... right angles . COR . 2. And consequently that all the angles made by any number of lines meeting in one point , are ...
Σελίδα 14
... right angles . There- fore any two angles , & c . Q. E. D. PROPOSITION XVIII . — THEOREM . The greater side of every triangle is opposite to the greater angle . d LET abc be a triangle , of which the side ac is greater than the side a b ...
... right angles . There- fore any two angles , & c . Q. E. D. PROPOSITION XVIII . — THEOREM . The greater side of every triangle is opposite to the greater angle . d LET abc be a triangle , of which the side ac is greater than the side a b ...
Σελίδα 20
... right angles ; the two straight lines shall be parallel to one another . g h f LET the straight line ef , which ... angles on the same side bgh , ghd together equal to two right angles ; a b is parallel to cd . d Because the angle egb is ...
... right angles ; the two straight lines shall be parallel to one another . g h f LET the straight line ef , which ... angles on the same side bgh , ghd together equal to two right angles ; a b is parallel to cd . d Because the angle egb is ...
Σελίδα 21
... angles upon the same side together equal to two right angles . LET the straight line ef fall upon the parallel straight lines a b , cd ; the alternate angles agh , ghd , are equal to one another ; and the exterior angle egb is equal to ...
... angles upon the same side together equal to two right angles . LET the straight line ef fall upon the parallel straight lines a b , cd ; the alternate angles agh , ghd , are equal to one another ; and the exterior angle egb is equal to ...
Άλλες εκδόσεις - Προβολή όλων
Συχνά εμφανιζόμενοι όροι και φράσεις
a b c abcd adjacent angles angle a cb angle abc angle bac angle edf angle equal base bc bc is equal bisected centre circle abc circumference bc describe diameter double draw equal angles equal straight lines equal to f equimultiples ex æquali exterior angle fore four magnitudes fourth given circle given straight line gnomon greater ratio greater than f inscribe less LET abc LET the straight likewise multiple opposite angle parallel parallelogram perpendicular produced Q. E. D. PROPOSITION rectangle a d rectangle contained remaining angle right angles segment semicircle shewn square of a c straight line a b straight line ab straight line bc tiple touches the circle triangle abc triangle def twice the rectangle